Line segment AB has endpoints A (−6, 4) and B (−8, 2) . Find the coordinates of A′ and B′ after a dilation with a scale factor of 1/2 , centered at the origin.(1 point)
To find the coordinates of A' and B' after a dilation with a scale factor of 1/2, centered at the origin, we can multiply the x and y coordinates of the original points A and B by the scale factor.
Coordinates of A' = (x-coordinate of A * scale factor, y-coordinate of A * scale factor)
Coordinates of B' = (x-coordinate of B * scale factor, y-coordinate of B * scale factor)
Using this formula, we can find the coordinates of A' and B':
Coordinates of A' = (-6 * 1/2, 4 * 1/2) = (-3, 2)
Coordinates of B' = (-8 * 1/2, 2 * 1/2) = (-4, 1)
Therefore, the coordinates of A' are (-3, 2) and the coordinates of B' are (-4, 1).